Question

If x4+1/x4=47 . Find the value of x3- 1/x3=756​

Answer 1

8√5

Step-by-step explanation:

x^2 + 1/x^2 = √(47+2) = 7

x + 1/x = √(7+2) = 3

x - 1/x = √(3^2 - 4) = √5

x^3 - 1/x^3 = (√5)^3 + 3(√5) = 8√5